Ladder operators and coherent states for nonlinear potentials

In this work, we make use of deformed operators to construct the coherent states of some nonlinear systems by generalization of two definitions: (i) as eigenstates of a deformed annihilation operator and (ii) by application of a deformed displacement operator to the vacuum state. We also construct t...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-10, Vol.44 (43), p.435304-10
Main Authors: Roman-Ancheyta, R, de los Santos, O, Recamier, J
Format: Article
Language:English
Subjects:
Coherence
Construction
Deformation
Dynamical systems
Eigenvalues
Exact sciences and technology
Ladders
Mathematical analysis
Operators
Physics
Schroedinger equation
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Summary:In this work, we make use of deformed operators to construct the coherent states of some nonlinear systems by generalization of two definitions: (i) as eigenstates of a deformed annihilation operator and (ii) by application of a deformed displacement operator to the vacuum state. We also construct the coherent states for the same systems using the ladder operators obtained by traditional methods with the knowledge of the eigenfunctions and eigenvalues of the corresponding Schrodinger equation. We show that both methods yield coherent states with identical algebraic structure.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/43/435304